Problem with checkbox in laravel livewire

Hi As part of learning, I try to create a simple blog where, when adding a new post, I can additionally indicate the tags that I have defined in a separate table. When adding a new post, everything works fine,

I have a problem that when I edit a given post because when I save my changes, I don't see which checkboxes were selected.

This is my component

<?php

namespace App\Http\Livewire;

use App\Models\Post;
use App\Models\PostTag;
use Illuminate\Support\Facades\Auth;
use Livewire\Component;
use Log;

class Posts extends Component
{
    public $tags = [];
    public $tag_id;
    public $posts;
    public $post_id;
    public $author_id;
    public $title;
    public $content;
    public $visible;

    public $updateMode = false;

    /**
     * The attributes that are mass assignable.
     *
     * @var array
     */
    public function render()
    {
        $this->posts = Post::all();

        return view('livewire.posts');
    }

    /**
     * The attributes that are mass assignable.
     *
     * @var array
     */
    private function resetInputFields()
    {
        $this->post_id = '';
        $this->author_id = '';
        $this->title = '';
        $this->content = '';
        $this->visible = '';
        $this->tag_id = '';
        $this->tags = '';
    }

    /**
     * The attributes that are mass assignable.
     *
     * @var array
     */
    public function store()
    {
        $validatedDate = $this->validate([
            'title' => 'required',
            'content' => 'required',
            'visible' => 'required',
        ]);

        //Save post
        $post = Post::create([
            'author_id' => Auth::id(),
            'title' => $this->title,
            'content' => $this->content,
            'visible' => $this->visible,
        ]);

        foreach ($this->tags as $key => $value) {
            PostTag::create([
                'tag_id' => $value,
                'post_id' => $post->post_id,
            ]);
        }

        session()->flash('message', 'Post Created Successfully.');

        Log::info('Post Created Successfully: '.$post->post_id);

        $this->resetInputFields();
    }

    /**
     * The attributes that are mass assignable.
     *
     * @var array
     */
    public function edit($id)
    {
        $post = Post::findOrFail($id);
        $this->post_id = $id;
        $this->author_id = Auth::id();
        $this->title = $post->title;
        $this->content = $post->content;
        $this->visible = $post->visible;
        $this->updateMode = true;
    }

    /**
     * The attributes that are mass assignable.

     *

     * @var array
     */
    public function cancel()
    {
        $this->updateMode = false;
        $this->resetInputFields();
    }

    /**
     * The attributes that are mass assignable.
     *
     * @var array
     */
    public function update()
    {
        $validatedDate = $this->validate([
            'title' => 'required',
            'content' => 'required',
            'visible' => 'required',
        ]);

        $post = Post::find($this->post_id);
        $post->update([
            'author_id' => Auth::id(),
            'title' => $this->title,
            'content' => $this->content,
            'visible' => $this->visible,
        ]);

        PostTag::where('post_id', $this->post_id)->delete();
        // $this->answers = array_filter($this->tags);
        // dd($this->answers);
        Log::info('valuevaluevaluevalue: '.$this->tags['tag_id']);
        foreach ($this->tags as $key => $value) {
            // Log::info('valuevaluevaluevalue: '.$value);
            // PostTag::create([
            //     'tag_id' => $value,
            //     'post_id' => $post->post_id,
            // ]);
        }

        $this->updateMode = false;

        session()->flash('message', 'Post Updated Successfully.');

        Log::info('Post Updated Successfully: '.$post->post_id);

        $this->resetInputFields();
    }

    /**
     * The attributes that are mass assignable.

     *

     * @var array
     */
    public function delete($id)
    {
        Post::find($id)->delete();
        session()->flash('message', 'Post Deleted Successfully.');
    }
}

This is my update.blade.php

<form>
    <span class="text-green-300 text-3xl font-bold">Update post</span>
    <input type="hidden" wire:model="post_id">
    <div class="form-group mt-2">
        <label for="exampleFormControlInput1" class="block text-gray-700 text-sm font-bold mb-2">Title:</label>
        <input type="text"
            class="shadow appearance-none border rounded w-full py-2 px-3 text-gray-700 leading-tight focus:outline-none focus:shadow-outline"
            id="exampleFormControlInput1" placeholder="Enter Title" wire:model="title" maxlength="100"
            autocomplete="off">
        @error('title') <span class="text-red-500">{{ $message }}</span>@enderror
    </div>
    <div class="form-group mt-2">
        <label for="exampleFormControlInput2" class="block text-gray-700 text-sm font-bold mb-2">Content:</label>
        <textarea type="text"
            class="shadow appearance-none border rounded w-full py-2 px-3 text-gray-700 leading-tight focus:outline-none focus:shadow-outline"
            id="exampleFormControlInput2" placeholder="Enter content" wire:model="content"
            autocomplete="off"></textarea>
        @error('content') <span class="text-red-500">{{ $message }}</span>@enderror
    </div>
    <div class="form-group mt-2">
        <label for="exampleFormControlInput3" class="block text-gray-700 text-sm font-bold mb-2">Tags:</label>
        <div class="mt-2">
            @php
            $all_tags = App\Models\Tag::orderBy('tag_name', 'asc')->get();
            @endphp
            @foreach ($all_tags as $key => $tag)
            <label class="inline-flex items-center">
                <input type="checkbox" class="form-checkbox" name="tags" value="{{ $tag->tag_id }}"
                    id="exampleFormControlInput3" wire:model="tags.{{ $key }}" {{ $this->tags[$key] =
                    App\Models\PostTag::where('post_id', $post_id)->where('tag_id', $tag->tag_id)->exists() ? 'checked' : '' }}>
                <span class="ml-2">{{ $tag->tag_name }}</span>
            </label>
            @endforeach
        </div>
        @error('tags') <span class="text-red-500">{{ $message }}</span>@enderror
    </div>
    <div class="form-group mt-2">
        <label for="exampleFormControlInput4" class="block text-gray-700 text-sm font-bold mb-2">Visible:</label>
        <div class="mt-2">
            <div>
                <label class="inline-flex items-center">
                    <input type="radio" class="form-radio" name="visible" value="1" id="exampleFormControlInput4"
                        wire:model="visible" />
                    <span class="ml-2">Yes</span>
                </label>
            </div>
            <div>
                <label class="inline-flex items-center">
                    <input type="radio" class="form-radio" name="visible" value="0" id="exampleFormControlInput4"
                        wire:model="visible" />
                    <span class="ml-2">No</span>
                </label>
            </div>
        </div>
        @error('visible') <span class="text-red-500">{{ $message }}</span>@enderror
    </div>
    <button wire:click.prevent="update()"
        class="inline-flex justify-center rounded-md border border-transparent px-4 py-2 my-3.5 bg-green-400 text-base leading-6 font-medium text-white shadow-sm hover:bg-green-500 focus:outline-none focus:border-green-700 focus:shadow-outline-green transition ease-in-out duration-150 sm:text-sm sm:leading-5">Update
        post</button>
    <button wire:click.prevent="cancel()"
        class="inline-flex justify-center rounded-md border border-transparent px-4 py-2 my-3.5 bg-gray-400 text-base leading-6 font-medium text-white shadow-sm hover:bg-gray-500 focus:outline-none focus:border-gray-700 focus:shadow-outline-gray transition ease-in-out duration-150 sm:text-sm sm:leading-5">Cancel
        post</button>
</form>